Answer:
Force constant, k = 653.3 N/m
Explanation:
It is given that,
Weight of the bag of oranges on a scale, W = 22.3 N
Let m is the mass of the bag of oranges,


m = 2.27 kg
Frequency of the oscillation of the scale, f = 2.7 Hz
We need to find the force constant (spring constant) of the spring of the scale. We know that the formula of the frequency of oscillation of the spring is given by :



k = 653.3 N/m
So, the force constant of the spring of the scale is 653.3 N/m. Hence, this is the required solution.
The correct answer is option C. Sound wave
A sound wave is an example of a mechanical wave which requires a medium.
Answer:
220N
Explanation:
Weight of the cart = w = 100kg
Radius = r = 3m
Velocity = v = 6m/s
9 = 9.8m/s²
F = ?
Since the cart is at the top of inner loop both the average normal force (N) and the weight (w=mg) of the cart act downwards, hence they both add up. Considering the centrifugal force (F=mv²/r) as well, we get,
∑F=ma=mv²/r
N+mg=mv²/r
N=m(v²/r-g)
N=100[(6)²/3-9.8]
N=100[12-9.8]
Net Force=220N
So, the force exerted by the track on the cart at the top of the loop is 220N
Answer:
Acceleration, 
Explanation:
Initial speed of the skater, u = 8.4 m/s
Final speed of the skater, v = 6.5 m/s
It hits a 5.7 m wide patch of rough ice, s = 5.7 m
We need to find the acceleration on the rough ice. The third equation of motion gives the relationship between the speed and the distance covered. Mathematically, it is given by :




So, the acceleration on the rough ice
and negative sign shows deceleration.